Given the third order homogeneous constant coefficient equation y"' + 12y" + 48y' + 64y = 0
a) the auxiliary equation is ar³ + br² + cr + d = = 0.
b) The roots of the auxiliary equation are (enter answers as a comma separated list).
c) A fundamental set of solutions is (enter answers as a comma separated list).
d) Given the initial conditions y(0) = 1, y'(0) = -3 and y"(0) = 10 find the unique solution to the IVP